Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane waits on the runway", the company will pay each customer a fee if the wai ting time is more than 2 hours. Given that the wait time can be modelled by an exponential random variable X with average 1.25 hours. If the waiting time is more than 2 hours then each customer gets 100X – 200. (a) What 's the probability that X will be 2.5? (b) What is the CDF of X? (c) What's the probability that X <2 (d) are 50 passengers. What is the amount that the company expects to pay the customers on the plane given there

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Answer the last part(d)

8.
Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that
peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane
waits on the runway", the company will pay each customer a fee if the waiting time is more than 2 hours.
Given that the wait time can be modelled by an exponential random variable X with aver age 1.25 hours.
If the waiting time is more than 2 hours then each customer gets 100X – 200.
(a)
What 's the probability that X will be 2.5?
(b)
What is the CDF of X?
(c)
What's the probability that X <2
(d)
What is the amount that the company expects to pay the customers on the plane given there
are 30 passengers.
Transcribed Image Text:8. Dominoz Airlines: Dominoz Pizza decides to expand into the airline industry. Knowing that peopie are tired of late flights, and in line with its Pizza delivery policy, they decide that when an airplane waits on the runway", the company will pay each customer a fee if the waiting time is more than 2 hours. Given that the wait time can be modelled by an exponential random variable X with aver age 1.25 hours. If the waiting time is more than 2 hours then each customer gets 100X – 200. (a) What 's the probability that X will be 2.5? (b) What is the CDF of X? (c) What's the probability that X <2 (d) What is the amount that the company expects to pay the customers on the plane given there are 30 passengers.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON